What is the Greatest Common Factor of 22806 and 22813?

Greatest common factor (GCF) of 22806 and 22813 is 7.

GCF(22806,22813) = 7

We will now calculate the prime factors of 22806 and 22813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22806 and 22813.

How to find the GCF of 22806 and 22813?

We will first find the prime factorization of 22806 and 22813. After we will calculate the factors of 22806 and 22813 and find the biggest common factor number .

Step-1: Prime Factorization of 22806

Prime factors of 22806 are 2, 3, 7, 181. Prime factorization of 22806 in exponential form is:

22806 = 2¹ × 3² × 7¹ × 181¹

Step-2: Prime Factorization of 22813

Prime factors of 22813 are 7, 3259. Prime factorization of 22813 in exponential form is:

22813 = 7¹ × 3259¹

Step-3: Factors of 22806

List of positive integer factors of 22806 that divides 22806 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 181, 362, 543, 1086, 1267, 1629, 2534, 3258, 3801, 7602, 11403

Step-4: Factors of 22813

List of positive integer factors of 22813 that divides 22806 without a remainder.

1, 7, 3259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22806 and 22813. The biggest common factor number is the GCF number.
So the greatest common factor 22806 and 22813 is 7.

Also check out the Least Common Multiple of 22806 and 22813